# triSurfVolume

Below is a demonstration of the features of the `triSurfVolume` function

## Contents

```
clear; close all; clc;
```

## Syntax

`[surfaceVolume]=triSurfVolume(F,V);`

## Description

UNDOCUMENTED

## Examples

## Example 1: Volume of a sphere

Creating meshed sphere, note that the discrete nature of the mesh causes the volume to deviate somewhat from the theoretical value.

r=3; %sphere radius n=2; %Refinements [F,V,~]=geoSphere(n,r);

Computing the volume

vol_theoretical=(4/3)*pi*r.^3 %Theoretical volume vol_surf_est=triSurfVolume(F,V) %estimate based on triangulated surface

vol_theoretical = 113.0973 vol_surf_est = 109.2702

cFigure; gpatch(F,V,'gw','k'); axisGeom; camlight headlight; gdrawnow;

## Example 2: Volume of a beam

Creating a meshed beam

% Specifying dimensions and number of elements for each direction boxDim=[2 1 0.5]; %Width in each direction pointSpacing=min(boxDim)/2; %Desired point spacing [F,V,faceBoundaryMarker]=triBox(boxDim,pointSpacing); % Using |triBox| to build a triangulated cube

Computing the volume

vol_theoretical=prod(boxDim) %Theoretical volume vol_surf_est=triSurfVolume(F,V) %estimate based on triangulated surface

vol_theoretical = 1 vol_surf_est = 1.0000

cFigure; gpatch(F,V,'gw','k'); axisGeom; camlight headlight; gdrawnow;

* GIBBON* www.gibboncode.org

*Kevin Mattheus Moerman*, [email protected]

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License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE

GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.

Copyright (C) 2006-2022 Kevin Mattheus Moerman and the GIBBON contributors

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